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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm\n",
    "import numpy as np\n",
    " \n",
    "fig = plt.figure()\n",
    "ax = fig.gca(projection='3d')\n",
    " \n",
    "X = np.arange(-.5, 1.5, 0.05)\n",
    "Y = np.arange(-.5, 1.5, 0.05)\n",
    "X, Y = np.meshgrid(X, Y)\n",
    "Z = (np.sin(5*X*Y)*np.cos(2*Y) + np.cos(-3*X*Y)/2)\n",
    "\n",
    "surf = ax.plot_surface(X, Y, Z, cmap=cm.coolwarm,\n",
    "                       linewidth=0, antialiased=False)\n",
    " \n",
    "fig.colorbar(surf, shrink=0.5, aspect=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<matplotlib.image.AxesImage at 0x23c4e5a19e8>"
     },
     "metadata": {},
     "execution_count": 3
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plt.imshow(Z,cmap=cm.coolwarm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<matplotlib.contour.QuadContourSet at 0x23c3b50e240>"
     },
     "metadata": {},
     "execution_count": 4
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plt.contourf(X, Y, Z,cmap=cm.coolwarm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x23c4f618828>"
     },
     "metadata": {},
     "execution_count": 8
    }
   ],
   "source": [
    "Z = (np.sin(5*X*Y)*np.cos(2*Y) + np.cos(-3*X*Y)/2) % .5\n",
    "\n",
    "ax.plot_surface(X, Y, Z, cmap=cm.coolwarm,\n",
    "                       linewidth=0, antialiased=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8-final"
  },
  "orig_nbformat": 2,
  "kernelspec": {
   "name": "python36864bit3f53e4684f024fc68f038ddcedf7a612",
   "display_name": "Python 3.6.8 64-bit"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}